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Math Help - logarithms

  1. #1
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    Exclamation logarithms

    An earthquake registers 6.1 on the richter scale. What is the rating on an earthquake that is twice as powerful?
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  2. #2
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    The Richter Scale is log base 10.

    So, an earthquake 2 times as powerful is the same as saying log2.

    You're 1st earthquake is a 6.1.

    So:

    6.1 + log2 = your 2nd earthquake.
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  3. #3
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    Hello, math123456!

    An earthquake registers 6.1 on the Richter scale.
    What is the rating on an earthquake that is twice as powerful?

    The Richer scale is logarithmic.

    If X is the "power" of an earthquake, its Richter rating is: \log(X)

    We have an earthquake with a Richter rating of 6.1.
    If its power is X, we have: . \log(X) \:=\:6.1

    An earthquake twice as power has power 2X.

    Its rating is: . \log(2X) \;=\;\log(2) + \log(X) \:=\:0.30103 + 6.1 \;\approx\:6.4



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